Titlebook: A Fixed-Point Farrago; Joel H. Shapiro Textbook 2016 Springer International Publishing Switzerland 2016 Analysis.Banach Spaces.Fixed-Point

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https://doi.org/10.1007/978-3-642-46633-5riant mean on the vector space .(.) of bounded, real-valued functions on .. We observed that existence of such a “mean” is equivalent to existence of a finitely additive probability “measure” on ., the algebra of all subsets of ., and we asked if . group turns out to be amenable. We showed that the

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Wilfried J. Elspass,Manfred Flemming space of .(.) fixed by the adjoint of every translation map on .(.). The Riesz Representation Theorem then provided a .-invariant, regular, Borel probability measure to represent this mean via integration on .(.). Thus was born Haar measure for ..

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